Cover -- Half Title -- Title Page -- Copyright Page -- Contents -- Preface -- 1 INTRODUCTION -- Space curves -- Curves on surfaces -- 2 SMOOTH MANIFOLDS AND VECTOR BUNDLES -- Smooth manifolds -- Smooth maps -- Partitions of unity -- The rank of a map -- Submanifolds -- Vector bu…
"This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity. Written to be self-contained, Smooth Manifolds and Fibre Bundles with Applications to Theoretica…
This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity. Written to be self-contained, Smooth Manifolds and Fibre Bundles with Applications to Theoretical…